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Finding the Fourth Proportional to 57,782.40, 86,694.24 and 22,747.20

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Solution

The fourth proportional to 57,782.40, 86,694.24 and 22,747.20 is: 34,128.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,782.40 : 86,694.24 = 22,747.20 : x
  2. Step 2: Convert to fraction form
    57,782.40/86,694.24 = 22,747.20/x
  3. Step 3: Cross multiply
    57,782.40x = 86,694.24 × 22,747.20
  4. Step 4: Simplify right side
    57,782.40x = 1,972,051,216.13
  5. Step 5: Solve for x
    x = 1,972,051,216.13/57,782.40
  6. Step 6: Final answer
    x = 34,128.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.